The functions q and r are defined as follows.
q(x) = -x - 2
r(x) = -2x^2 -2
find the value of r(q(-4)) .

For this case we have the following functions:

We must find . So:

We substitute in

Now we substitute

r(q(-4)) = -10

Step-by-step explanation:

q(x) = -x - 2

r(x) = -2x^2 -2

r(q(-4))

First find q(-4)

Let x=-4

q(-4) = -(-4) - 2

q(-4) = +4 -2 = 2

q(-4) =2

We substitute this value in for x in r(x)

r(2) = -2(2)^2 -2

     = -2 (4) -2

     = -8 -2

     = -10